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104300102341344 = 25371311939114279
BaseRepresentation
bin10111101101110001000010…
…100011001101001011100000
3111200021222210110111201220010
4113231301002203031023200
5102132323102144410334
61005454445555244520
730653301524024220
oct2755610243151340
9450258713451803
10104300102341344
1130262474745668
12b8460852a9740
1346275c4023690
141ba821aad4080
15c0d141e020e9
hex5edc428cd2e0

104300102341344 has 96 divisors (see below), whose sum is σ = 336969561438720. Its totient is φ = 27507719296512.

The previous prime is 104300102341333. The next prime is 104300102341349. The reversal of 104300102341344 is 443143201003401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1043001023413442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104300102341349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5969548404 + ... + 5969565875.

It is an arithmetic number, because the mean of its divisors is an integer number (3510099598320).

Almost surely, 2104300102341344 is an apocalyptic number.

104300102341344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104300102341344 is an abundant number, since it is smaller than the sum of its proper divisors (232669459097376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104300102341344 is a wasteful number, since it uses less digits than its factorization.

104300102341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11939114312 (or 11939114304 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 104300102341344 its reverse (443143201003401), we get a palindrome (547443303344745).

The spelling of 104300102341344 in words is "one hundred four trillion, three hundred billion, one hundred two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 11939114279 23878228558 35817342837 47756457116 71634685674 83573799953 95512914232 143269371348 155208485627 167147599906 191025828464 250721399859 286538742696 310416971254 334295199812 382051656928 465625456881 501442799718 573077485392 620833942508 668590399624 931250913762 1002885599436 1086459399389 1146154970784 1241667885016 1337180799248 1862501827524 2005771198872 2172918798778 2483335770032 2674361598496 3259378198167 3725003655048 4011542397744 4345837597556 4966671540064 6518756396334 7450007310096 8023084795488 8691675195112 13037512792668 14900014620192 17383350390224 26075025585336 34766700780448 52150051170672 104300102341344